Reconstruction of substrate's diffusion landscape by the wavelet analysis of single particle diffusion tracks
arXiv:1806.02251 · doi:10.1016/j.physa.2019.122102
Abstract
We propose an approach to analysing single trajectories of a particle, which moves randomly on a landscape distinct parts of which result in sufficiently various diffusion coefficients. The method based on the mapping the cumulative sum of step-wise elementary displacement squared into a complex oscillating functions with the subsequent continuous wavelet analysis of the later allows the localisation of relatively homogeneous sub-regions and determining values of the diffusion coefficient within each such sub-region. This approach is applied to demonstrable test examples as well as to the reconstruction of the biological membrane's properties from the real data of single molecule walk tracing.
12 pages, 4 figures
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